This model 2002 is vertually identical to the Jacques Monnat and the O&W branded model 2002 seen in this catalog advertisement from 1969 and images below. The only difference is that the Jenny has a Landeron 248 movement and a push in crown the Jacques Monnet and O&W has a Valjoux 7733 movement and a screw down crown.

Because of the different movement used in the Jenny, the top pusher starts the stopwatch and the bottom pusher stops and resets it.